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Effects of uncertain lifetime and annuity insurance on capital accumulation and growth

Author

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  • Luisa Fuster

    () (Departament d'Economia i Empresa, Universitat Pompeu Fabra, Ramon Trias Fargas 25-27, E-08005 Barcelona, SPAIN)

Abstract

This paper studies the effects of uncertain lifetime on capital accumulation and growth and also the sensitivity of those effects to the existence of a perfect annuities market. The model is an overlapping generations model with uncertain lifetimes. The technology is convex and such that the marginal product of capital is bounded away from zero. A contribution of this paper is to show that the existence of accidental bequests may lead the economy to an equilibrium that exhibits asymptotic growth, which is impossible in an economy with a perfect annuities market or with certain lifetimes. This paper also shows that if individuals face a positive probability of surviving in every period, they may be willing to save at any age. This effect of uncertain lifetime on savings may also lead the economy to an equilibrium exhibiting asymptotic growth even if there exists a perfect annuities market.

Suggested Citation

  • Luisa Fuster, 1999. "Effects of uncertain lifetime and annuity insurance on capital accumulation and growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(2), pages 429-445.
  • Handle: RePEc:spr:joecth:v:13:y:1999:i:2:p:429-445
    Note: Received: April 17, 1996; revised version: December 9, 1997
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    References listed on IDEAS

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    1. Boldrin, Michele, 1992. "Dynamic externalities, multiple equilibria, and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 198-218, December.
    2. Jones, Larry E. & Manuelli, Rodolfo E., 1992. "Finite lifetimes and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 171-197, December.
    3. Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-1038, October.
    4. Abel, Andrew B, 1985. "Precautionary Saving and Accidental Bequests," American Economic Review, American Economic Association, vol. 75(4), pages 777-791, September.
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    Cited by:

    1. repec:fth:sotoec:0031 is not listed on IDEAS
    2. Chiara Canta & Pierre Pestieau & Emmanuel Thibault, 2016. "Long-term care and capital accumulation: the impact of the State, the market and the family," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(4), pages 755-785, April.
    3. Mizushima, Atsue, 2009. "Intergenerational transfers of time and public long-term care with an aging population," Journal of Macroeconomics, Elsevier, vol. 31(4), pages 572-581, December.
    4. Abdelkrim Seghir & Juan Torres-Martínez, 2008. "Wealth transfers and the role of collateral when lifetimes are uncertain," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(3), pages 471-502, September.
    5. Mason, R. & Weeds, H., 2000. "Networks, options and preemptions," Discussion Paper Series In Economics And Econometrics 0013, Economics Division, School of Social Sciences, University of Southampton.
    6. Mateos-Planas, Xavier, 2000. "The European demographic transition," Discussion Paper Series In Economics And Econometrics 31, Economics Division, School of Social Sciences, University of Southampton.
    7. Lisi Shi & Richard M. H. Suen, 2014. "The Macroeconomic Consequences of Asset Bubbles and Crashes," Working papers 2014-14, University of Connecticut, Department of Economics.
    8. Kazutoshi Miyazawa, 2006. "Growth and inequality: a demographic explanation," Journal of Population Economics, Springer;European Society for Population Economics, vol. 19(3), pages 559-578, July.
    9. Tabata, Ken, 2005. "Population aging, the costs of health care for the elderly and growth," Journal of Macroeconomics, Elsevier, vol. 27(3), pages 472-493, September.
    10. Agnani, Betty & Gutierrez, Maria-Jose & Iza, Amaia, 2005. "Growth in overlapping generation economies with non-renewable resources," Journal of Environmental Economics and Management, Elsevier, vol. 50(2), pages 387-407, September.
    11. Xavier Mateos-Planas, 2002. "The Demographic Transition in Europe: A Neoclassical Dynastic Approach," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(3), pages 646-680, July.
    12. Heijdra, Ben J. & Mierau, Jochen O., 2012. "The individual life-cycle, annuity market imperfections and economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 36(6), pages 876-890.
    13. Osang, Thomas & Sarkar, Jayanta, 2005. "Endogenous Mortality, Human Capital and Endogenous Growth," Departmental Working Papers 0511, Southern Methodist University, Department of Economics.
    14. Mateos-Planas, Xavier, 2000. "The European demographic transition," Discussion Paper Series In Economics And Econometrics 0031, Economics Division, School of Social Sciences, University of Southampton.
    15. Sven H. Sinclair & Kent A. Smetters, 2004. "Health Shocks and the Demand for Annuities: Technical Paper 2004-09," Working Papers 15868, Congressional Budget Office.
    16. Ito, Hiroyuki & Tabata, Ken, 2008. "Demographic structure and growth: The effect of unfunded social security," Economics Letters, Elsevier, vol. 100(2), pages 288-291, August.
    17. Lines, Marji, 2001. "The dynamics of capital accumulation in an overlapping generations model," Structural Change and Economic Dynamics, Elsevier, vol. 12(1), pages 75-89, March.

    More about this item

    Keywords

    Asymptotic growth · Convex technology · Uncertain lifetimes · Accidental bequests · Perfect annuities market.;

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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